Geodesic
Generalized Fourier operators and their application to the justification of some numerical methods in aerodynamics
Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 65-98 
I. K. Lifanov; L. N. Poltavskii. Generalized Fourier operators and their application to the justification of some numerical methods in aerodynamics. Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 65-98. http://geodesic.mathdoc.fr/item/SM_1993_76_1_a4/
@article{SM_1993_76_1_a4,
     author = {I. K. Lifanov and L. N. Poltavskii},
     title = {Generalized {Fourier} operators and their application to the~justification of some numerical methods in aerodynamics},
     journal = {Sbornik. Mathematics},
     pages = {65--98},
     year = {1993},
     volume = {76},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_76_1_a4/}
}
TY  - JOUR
AU  - I. K. Lifanov
AU  - L. N. Poltavskii
TI  - Generalized Fourier operators and their application to the justification of some numerical methods in aerodynamics
JO  - Sbornik. Mathematics
PY  - 1993
SP  - 65
EP  - 98
VL  - 76
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1993_76_1_a4/
LA  - en
ID  - SM_1993_76_1_a4
ER  - 
%0 Journal Article
%A I. K. Lifanov
%A L. N. Poltavskii
%T Generalized Fourier operators and their application to the justification of some numerical methods in aerodynamics
%J Sbornik. Mathematics
%D 1993
%P 65-98
%V 76
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1993_76_1_a4/
%G en
%F SM_1993_76_1_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

This article gives a mathematical justification of the method of discrete closed vortex frames in the case when the supporting surface is part of a plane.

[1] Belotserkovskii S. M., Tonkaya nesuschaya poverkhnost v dozvukovom potoke gaza, Nauka, M., 1965

[2] Belotserkovskii S. M., Lifanov I. K., Chislennye metody v singulyarnykh integralnykh uravneniyakh, Nauka, M., 1985 | MR | Zbl

[3] Belotserkovskii S. M., Lifanov I. K., Mikhailov A. A., “Raschet bestsirkulyatsionnogo obtekaniya proizvolnykh tel”, Uchenye zap. TsAGI, 18:5 (1987), 1–10 | MR

[4] Sedov L. I., Mekhanika sploshnoi sredy, T. 2, Nauka, M., 1976 | Zbl

[5] Lifanov I. K., “Singulyarnye integralnye uravneniya pervogo roda zadachi Neimana”, Differents. uravneniya, 24 (1988), 110–115 | MR | Zbl

[6] Zigmund A., Trigonometricheskie ryady, T. 1, 2, Mir, M., 1965 | MR

[7] Kakichev V. A., “O regulyarizatsii singulyarnykh integralnykh uravnenii s yadrami Koshi dlya bitsilindricheskikh oblastei”, Izv. vuzov. Matematika, 1967, no. 7(62), 54–64 | Zbl

[8] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977 | MR

[9] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR

[10] Eskin G. I., Kraevye zadachi dlya ellipticheskikh psevdodifferentsialnykh uravnenii, Nauka, M., 1973 | MR

[11] Hörmander L., “Fourier integral operators”, Acta math., 1971, no. 1–2, 79–183 | DOI | MR | Zbl